Q: What are the factor combinations of the number 307,634,173?

 A:
Positive:   1 x 3076341737 x 4394773911 x 2796674331 x 992368377 x 3995249217 x 1417669341 x 9021532387 x 128879
Negative: -1 x -307634173-7 x -43947739-11 x -27966743-31 x -9923683-77 x -3995249-217 x -1417669-341 x -902153-2387 x -128879


How do I find the factor combinations of the number 307,634,173?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 307,634,173, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 307,634,173
-1 -307,634,173

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 307,634,173.

Example:
1 x 307,634,173 = 307,634,173
and
-1 x -307,634,173 = 307,634,173
Notice both answers equal 307,634,173

With that explanation out of the way, let's continue. Next, we take the number 307,634,173 and divide it by 2:

307,634,173 ÷ 2 = 153,817,086.5

If the quotient is a whole number, then 2 and 153,817,086.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 307,634,173
-1 -307,634,173

Now, we try dividing 307,634,173 by 3:

307,634,173 ÷ 3 = 102,544,724.3333

If the quotient is a whole number, then 3 and 102,544,724.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 307,634,173
-1 -307,634,173

Let's try dividing by 4:

307,634,173 ÷ 4 = 76,908,543.25

If the quotient is a whole number, then 4 and 76,908,543.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 307,634,173
-1 307,634,173
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

171131772173412,387128,879902,1531,417,6693,995,2499,923,68327,966,74343,947,739307,634,173
-1-7-11-31-77-217-341-2,387-128,879-902,153-1,417,669-3,995,249-9,923,683-27,966,743-43,947,739-307,634,173

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